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Finding the Fourth Proportional to 585.22, 807.74 and 364.04

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Solution

The fourth proportional to 585.22, 807.74 and 364.04 is: 502.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    585.22 : 807.74 = 364.04 : x
  2. Step 2: Convert to fraction form
    585.22/807.74 = 364.04/x
  3. Step 3: Cross multiply
    585.22x = 807.74 × 364.04
  4. Step 4: Simplify right side
    585.22x = 294,049.67
  5. Step 5: Solve for x
    x = 294,049.67/585.22
  6. Step 6: Final answer
    x = 502.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.